Acceleration of the partial element equivalent circuit method with uniform tessellation—Part II: Frequency domain solver with interpolation and reuse of partial elements. (7th December 2017)

• Record Type: Journal Article
• Authors: Romano, Daniele; Lombardi, Luigi; Antonini, Giulio
• Other Names: Ala Guido guestEditor.
• Is Part Of: International journal of numerical modelling. Volume 31:Number 6(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2017-12-07
• Subjects: binary search -- coefficients computation -- frequency‐domain methods -- frequency sweeps -- integral equations -- Lagrange interpolation -- memory management -- partial element equivalent circuit (PEEC) -- speed‐up techniques -- vectorized computation; Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.2306
• Languages: English
• ISSNs: 0894-3370

Abstract

Abstract: Stated the importance of accelerating electromagnetic numerical methods to perform accurate and fast virtual prototyping, addressing electromagnetic compatibility/electromagnetic interference issues, in this work, we propose a novel strategy for fast frequency sweeps arising in the partial element equivalent circuit method. Since, as shown in Part I, many geometrical configurations are repeated for a uniform tessellation of 3D structures, the calculation of volume and surface integrals required to fill the partial element matrices can be performed only for a subset of the total elements. Furthermore, since these integrals slowly change with frequency, they can be easily interpolated. Finally, since the interpolation is used over a reduced number of coefficients, their computation can be performed in a vectorialized fashion. All this process leads to an impressive acceleration in the computation of partial elements for the entire frequency sweep by paying a little overhead of random access memory usage. The efficiency and accuracy of the proposed method are demonstrated through its application to 2 pertinent problems.